Why is it necessary to know the lengths of all three sides of a triangle to find all six trigonometric function values?

Trigonometric Functions and Ratios

Interactive Video
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Mathematics
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9th - 12th Grade
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Hard

Ethan Morris
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
To ensure the triangle is a right triangle
To apply the Pythagorean theorem
To calculate the ratios for each function
To determine the angle measures
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the hypotenuse of a right triangle when given the other two sides?
Multiply the lengths of the two sides
Use the Pythagorean theorem
Add the lengths of the two sides
Subtract the lengths of the two sides
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the simplified form of the square root of 45?
√45
5√3
3√5
9√5
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which trigonometric function is the reciprocal of sine?
Tangent
Cosecant
Secant
Cosine
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the sine of an angle defined in a right triangle?
Ratio of hypotenuse to opposite side
Ratio of adjacent side to opposite side
Ratio of adjacent side to hypotenuse
Ratio of opposite side to hypotenuse
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the rationalized form of 1/√5?
5/√5
1/5
√5/5
√5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the cosine of angle B if the adjacent side is 6 and the hypotenuse is 3√5?
2/√5
6/√5
1/√5
3/√5
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